Baby name help!

So my husband and I are torn between the names Henry and Flynn for our little one. We've already decided the middle name will be David after my father. My husband thinks we should just use both and his name will be Henry Flynn David Thomas (our last name). We already have one daughter who has just one middle name (which has a super special meaning to us). Not sure if it is weird to give one kid two middle names. If that name is just too much or if putting in a second middle name takes away from the honor I wanted to give my father. Thoughts? Thank you!

To add- We will not be having any more kids to save a new for.